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Finding the Fourth Proportional to 572.54, 856.70 and 341.54

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Solution

The fourth proportional to 572.54, 856.70 and 341.54 is: 511.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.54 : 856.70 = 341.54 : x
  2. Step 2: Convert to fraction form
    572.54/856.70 = 341.54/x
  3. Step 3: Cross multiply
    572.54x = 856.70 × 341.54
  4. Step 4: Simplify right side
    572.54x = 292,597.32
  5. Step 5: Solve for x
    x = 292,597.32/572.54
  6. Step 6: Final answer
    x = 511.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.